Coon amplitude equals 3d N=2 half-index of XYZ model with boundary conditions; IR flow gives Veneziano amplitude, and elliptic completion of q^ST yields a meromorphic positive version.
Accumulation-point amplitudes in string theory
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The Veneziano amplitude is the unique solution to a dual bootstrap from dispersive sum rules interpreted as moments, unitarity, and string monodromy or splitting conditions.
A ghost-free polynomially bounded scalar theory with momentum-dependent interactions that cancels all loop divergences to all orders, with finite one-loop self-energy and beta function computed, plus a variant with zero mass renormalization.
Mellin transform of superstring amplitude reduces to Riemann zeta function in forward limit and supplies a new closed-form expression for its EFT expansion at finite t.
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.
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Meromorphic amplitudes from 3-dimensional supersymmetry
Coon amplitude equals 3d N=2 half-index of XYZ model with boundary conditions; IR flow gives Veneziano amplitude, and elliptic completion of q^ST yields a meromorphic positive version.
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Analytic Bootstrap of the Veneziano Amplitude
The Veneziano amplitude is the unique solution to a dual bootstrap from dispersive sum rules interpreted as moments, unitarity, and string monodromy or splitting conditions.
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An Ultraviolet Finite Theory of Scalars
A ghost-free polynomially bounded scalar theory with momentum-dependent interactions that cancels all loop divergences to all orders, with finite one-loop self-energy and beta function computed, plus a variant with zero mass renormalization.
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Zeta Functions and the Superstring
Mellin transform of superstring amplitude reduces to Riemann zeta function in forward limit and supplies a new closed-form expression for its EFT expansion at finite t.
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The Equivalence Principle at High Energies Completes the Spectrum
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.